Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Dual spaces and translation invariant means on group von Neumann algebras

100%

Cheng M.

Studia Mathematica

2014

tom 223

nr 2

97-121

Let G be a locally compact group. Its dual space, G*, is the set of all extreme points of the set of normalized continuous positive definite functions of G. In the early 1970s, Granirer and Rudin proved independently that if G is amenable as discrete, then G is discrete if and only if all the translation invariant means on $L^{∞}(G)$ are topologically invariant. In this paper, we define and study G*-translation operators on VN(G) via G* and investigate the problem of the existence of G*-translation invariant means on VN(G) which are not topologically invariant. The general properties of G* are also investigated.

Characterizations of amenable representations of compact groups

100%

Cheng M.

Studia Mathematica

2012

tom 213

nr 3

207-225

Let G be a locally compact group and let π be a unitary representation. We study amenability and H-amenability of π in terms of the weak closure of (π ⊗ π)(G) and factorization properties of associated coefficient subspaces (or subalgebras) in B(G). By applying these results, we obtain some new characterizations of amenable groups.

Ograniczanie wyników

2 Studia Mathematica

2 Cheng M.

1 2014

1 2012

Wyniki wyszukiwania

Dual spaces and translation invariant means on group von Neumann algebras

Characterizations of amenable representations of compact groups